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Arc Length

  1. Aug 15, 2012 #1
    1. The problem statement, all variables and given/known data

    27. Use the parametrization x = tcost, y = tsint of the
    Archimedean spiral to find the arc length of the first full turn
    of this spiral (corresponding to 0 <= t <= 2∏ ).



    2. Relevant equations



    3. The attempt at a solution

    I use onenote and a tablet, so my exact attempt in in the pdf attached..

    View attachment 27.pdf

    Im not sure where I went wrong on this one. It looks correct to me.

    The answer key shows.

    1/2 [ t√(1 + t2) + ln ( t + √{1 + t2})] | 2∏, 0
     
  2. jcsd
  3. Aug 15, 2012 #2
    Looks like you made a typo in page 2, second row.
     
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